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Finding the Fourth Proportional to 445.34, 614.48 and 290

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Solution

The fourth proportional to 445.34, 614.48 and 290 is: 400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.34 : 614.48 = 290 : x
  2. Step 2: Convert to fraction form
    445.34/614.48 = 290/x
  3. Step 3: Cross multiply
    445.34x = 614.48 × 290
  4. Step 4: Simplify right side
    445.34x = 178,199.20
  5. Step 5: Solve for x
    x = 178,199.20/445.34
  6. Step 6: Final answer
    x = 400.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.